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123240121131 = 36710722732521
BaseRepresentation
bin111001011000110101…
…1110000001100101011
3102210002211000211002210
41302301223300030223
54004343432334011
6132340555300203
711622001513461
oct1626153601453
9383084024083
10123240121131
11482a1921086
121ba74a4a663
13b8105628ca
145d717b6831
15331467b6a6
hex1cb1af032b

123240121131 has 32 divisors (see below), whose sum is σ = 168472182528. Its totient is φ = 80110356480.

The previous prime is 123240121129. The next prime is 123240121153. The reversal of 123240121131 is 131121042321.

It is not a de Polignac number, because 123240121131 - 21 = 123240121129 is a prime.

It is a super-3 number, since 3×1232401211313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123240121098 and 123240121107.

It is not an unprimeable number, because it can be changed into a prime (123240121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48884151 + ... + 48886671.

It is an arithmetic number, because the mean of its divisors is an integer number (5264755704).

Almost surely, 2123240121131 is an apocalyptic number.

123240121131 is a deficient number, since it is larger than the sum of its proper divisors (45232061397).

123240121131 is a wasteful number, since it uses less digits than its factorization.

123240121131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 123240121131 its reverse (131121042321), we get a palindrome (254361163452).

The spelling of 123240121131 in words is "one hundred twenty-three billion, two hundred forty million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 67 107 201 321 2273 2521 6819 7169 7563 21507 152291 168907 243211 269747 456873 506721 729633 809241 5730233 16295137 17190699 18073049 48885411 54219147 383925611 613134931 1151776833 1839404793 41080040377 123240121131